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Recent experimental results for the gravitational constant G from Cavendish-type experiments were analysed in the framework of Modified Newtonian Dynamics (MOND). MOND corrections were applied to the equation of motion of a pendulum, under…

General Relativity and Quantum Cosmology · Physics 2020-01-20 Norbert Klein

The MOdified Newtonian Dynamics (MOND) is an alternative to the dark matter assumption that can explain the observed flat rotation curve of galaxies. Here hydrodynamic accretion is considered to critically check the consistency and to…

Astrophysics of Galaxies · Physics 2012-02-24 Nirupam Roy

We point out an interesting theoretical prediction for elliptical galaxies residing inside galaxy clusters in the framework of modified Newtonian dynamics (MOND), that could be used to test this paradigm. Apart from the central brightest…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Xufen Wu , HongSheng Zhao , Benoit Famaey

MOND is a phenomenological modification of Newton's law of gravitation which reproduces the dynamics of galaxies, without the need for additional dark matter. This paper reviews the basics of MOND and its application to dwarf galaxies. MOND…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Arthur Kosowsky

There exists several modified gravity theories designed to reproduce the empirical Milgrom's formula (MOND). Here we derive analytical results in the context of the static weak-field limit of two of them (BIMOND, leading for a given set of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 HongSheng Zhao , Benoit Famaey

We investigate the possibility of discriminating between Modified Newtonian Dynamics (MOND) and Newtonian gravity with dark matter, by studying the vertical dynamics of disk galaxies. We consider models with the same circular velocity in…

Astrophysics · Physics 2009-06-23 Carlo Nipoti , Pasquale Londrillo , HongSheng Zhao , Luca Ciotti

Cosmological models that invoke warm or cold dark matter can not explain observed regularities in the properties of dwarf galaxies, their highly anisotropic spatial distributions, nor the correlation between observed mass discrepancies and…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-22 Pavel Kroupa , Marcel Pawlowski , Mordehai Milgrom

The self-binding energy and stability of a galaxy in MOND-based gravity are curiously decreasing functions of its center of mass acceleration towards neighbouring mass concentrations. A tentative indication of this breaking of the Strong…

Astrophysics · Physics 2009-11-13 Xufen Wu , HongSheng Zhao , Benoit Famaey , G. Gentile , O. Tiret , F. Combes , G. W. Angus , A. C. Robin

Clusters of galaxies offer a robust test bed for probing the nature of dark matter that is insensitive to the assumption of the gravity theories. Both Modified Newtonian Dynamics (MOND) and General Relativity (GR) would require similar…

Astrophysics · Physics 2009-11-13 Priyamvada Natarajan , Hongsheng Zhao

(Abridged) Dynamical friction can be used to distinguish Newtonian gravity and modified Newtonian dynamics (MOND) because it works differently in these frameworks. This concept, however, has yet to be explored very much with MOND. Previous…

Astrophysics of Galaxies · Physics 2021-09-29 Michal Bílek , Hongsheng Zhao , Benoit Famaey , Oliver Müller , Pavel Kroupa , Rodrigo Ibata

General Relativity (GR) was proven via the direct detection of gravitational waves from the mergers of the binary black holes and binary neutron stars by the Advanced LIGO and Advanced Virgo detectors. These detections confirmed the…

General Relativity and Quantum Cosmology · Physics 2022-05-18 S. Shankaranarayanan , Joseph P Johnson

Modified Newtonian Dynamics (MOND) is a framework of theories that adjust Newton's laws of gravity to explain effects such as galactic rotation anomalies, offering an alternative to dark matter. This essay examines the justification of MOND…

History and Philosophy of Physics · Physics 2025-12-03 Antonis Antoniou , Lorenzo Lorenzetti

We study non-linear massive gravity in the spherically symmetric context. Our main motivation is to investigate the effect of helicity-0 mode which remains elusive after analysis of cosmological perturbation around an open…

High Energy Physics - Theory · Physics 2012-12-19 Chien-I Chiang , Keisuke Izumi , Pisin Chen

We review galaxy formation and dynamics under the MOND hypothesis of modified gravity, and compare to similar galaxies in Newtonian dynamics with dark matter. The aim is to find peculiar predictions both to discriminate between various…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 F. Combes , O. Tiret

Milgrom's modified Newtonian dynamics (MOND) can explain well the mass discrepancy problem in galaxy without invoking dark matter. The MOND theory predicts a universal constant acceleration scale in galaxy, below which the Newtonian…

Astrophysics of Galaxies · Physics 2019-04-18 Zhe Chang , Yong Zhou

The Modified dynamics (MOND) has been propounded as an alternative to Dark matter. It imputes the mass discrepancy in galaxy systems to failure of standard dynamics in the limit of small accelerations. After a brief description of the MOND…

Astrophysics · Physics 2007-05-23 Mordehai Milgrom

In this work we definitely prove a possibility that Milgrom's modified Newtonian dynamics, MOND, can be consistently interpreted as a theory with the modified kinetic terms of the usual Newtonain dynamics, simply called k-MOND. Precisely,…

General Physics · Physics 2012-03-13 Vladan Pankovic , Darko Kapor

Astrophysical data analysis of the weak-field predictions support the claim that modified gravity (MOG) theories provide a self-consistent, scale-invariant, universal description of galaxy rotation curves, without the need of non-baryonic…

Astrophysics of Galaxies · Physics 2009-08-09 J. R. Brownstein

A wealth of astronomical data indicate the presence of mass discrepancies in the Universe. The motions observed in a variety of classes of extragalactic systems exceed what can be explained by the mass visible in stars and gas. Either (i)…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-28 Benoit Famaey , Stacy McGaugh

We have recently discovered that the modified dynamics (MOND) implies some universal upper bound on the acceleration that can be contributed by a `dark halo'--assumed in a Newtonian analysis to account for the effects of MOND. Not…

Astrophysics · Physics 2011-02-11 Rafael Brada , Mordehai Milgrom